An outline is presented for the scope and sequence of the following topics to be covered in grades K-8: sets, operations, number theory, measurement, geometry, and number sentences. Details of a coding scheme for mathematics units, exemplary units for each level, and a description of the procedures used to correlate science and mathematics courses…

Eighteen research reports related to mathematics education are abstracted and critically analyzed. Seven of the reports deal with general instructional concerns (feedback on homework, error patterns, teacher-student interaction, reading strategies, teacher effectiveness, school attendance, and learning environment), four with topics in mathematics…

Five activities involving an array of numbers called an even triangle are given. Properties of the triangle are listed and some generalizations are proven. (MP)

Forty-three preschoolers learned the concept of one-to-one correspondence by matched discovery, expository, or observational learning. The groups did not differ on short-term recall and near transfer, but the discovery group excelled on far transfer and delayed recall. The effect of guided discovery on broader learning outcomes was also discussed.…

A mathematical game that reinforces basic multiplication facts, strengthens concepts of factors and multiples, and also provides arithmetic drill is described. Four variations of the game are also provided. (JT)

Four games and some variations which can be used to practice facts and operations are described. (JT)

The authors describe a series of magic tricks based on computation which they use in elementary and secondary school mathematics classes to motivate and challenge students. (SD)

Investigated was the effect of prior experiences on the acquisition of number conservation by 10 mildly and 10 moderately retarded students (7-16 years old). (CL)

The article recounts a conversation with preschool students about calculators. The author found the children to be familiar with calculators. Also, the Calculator and Mathematics Project, Los Angeles (CAMP-LA), a project which assumes every child has a calculator, is briefly described. (PK)

The study investigated children's ability to write number sentences for simple addition and subtraction word problems. The results suggest that open number sentences may provide mathematical symbolism that allows young children to build on informal strategies for presenting and solving simple word problems. (Author/PK)

Computing pi efficiently has been of great interest to mathematicians for centuries. This article presents an algorithm to solve this problem through skillful computer use. (PK)

Describes an exhibition of "mathematically rich" cloths. The themes chosen to be included were symmetry, number, creativity, information handling, and problem solving. The project was an outgrowth of work to take ordinary daily situations and analyze them mathematically. (PK)

Describes a study designed to investigate the relationship between students' learning of the standard double-digit addition algorithm and basic fact mastery or numeration concepts. Results suggest basic fact mastery and knowledge of numeration concepts may not be as necessary as previously assumed to learning multidigit addition. (PK)

Reports on interplay between social and developmental processes in children's numerical understandings in working- and middle-class home settings. Methods included interviews with 78 children aged 2 1/2 and 4 1/2 years to assess their numerical understandings, interviews with the mothers about their children's everyday number activities, and…

Presents a method of teaching two-column addition which the authors argue is based on Piaget's theory and fosters the children's own natural thinking. The method does not use objects such as straws bundled or base-ten blocks. (PK)